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Finding the Fourth Proportional to 1,160.82, 1,741.52 and 339.11

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Solution

The fourth proportional to 1,160.82, 1,741.52 and 339.11 is: 508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.82 : 1,741.52 = 339.11 : x
  2. Step 2: Convert to fraction form
    1,160.82/1,741.52 = 339.11/x
  3. Step 3: Cross multiply
    1,160.82x = 1,741.52 × 339.11
  4. Step 4: Simplify right side
    1,160.82x = 590,556.44
  5. Step 5: Solve for x
    x = 590,556.44/1,160.82
  6. Step 6: Final answer
    x = 508.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.